problems on trains with solutions - pdf.pdf

8/20/2019 Problems on Trains with Solutions - PDF.pdf

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Problems on Trains with Solutions - PDF

www.bankexamstoday.com /2015/10/problems-on-trains-pdf.html

18 km/hour = 5 metre/second, can be used to convert the speed given in km/hour to metre/second or

vice - versa.

3 km/hour = (3 × 5 / 18) metre/second

and

3 metre/second = (3 × 18 / 5) km/hour

#2

If a train of length "L" at a speed "v "passes another object of length " i " at a speed x in time "t", then

t = time to cross the object = Total Distance / Relative Speed = L + i / v - x

If object is stationary, then x = 0

If object is opposite, then put x = -x

and v - x making after is (v + x)

A train is said to have crossed an object (stationary or moving) only when the last coach (end) of the

train crosses the said object completely. It implies that the total length of the train has crossed the total

length of the object.

Hence, the distance covered by the train = length of train + length of object

Basic Formula

1. Time = Distance / Speed

2. Time to cross an object moving in the direction of train =

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Important Note

1. If the object is of negligible length, then put length of object, L = 0 (i.e. tree, man)

2. If the object is stationary, then put speed of object, V = 0

3. If the object is moving in opposite direction, then put (-) ve sign before V, so the denominator of

the formula becomes

Different Types of Objects



If the object is moving to opposite direction, then denominator becomes speed of (train+ object)

Two Trains Crossing Each Other in Both Directions

Two trains are crossing each other



APPLICATIONS ON TRAINS.

1. How long will a train 130m long travelling at 40 km an hour take to pass a kilometer stone?

2. How long will a train 60 m long travelling at 40 km an hour take to pass through a station

whose platform is 90 m long?



4. Find the length of a bridge which a train 130 m long, travelling at 45 km an hour, can cross in 30

secs.

5. The length of the train that takes 8 seconds to pass a pole when it turns at a speed of 36

km/hr is __________________ metres.

6. A train 50 metres long passes a platform 100 metres long I 10 seconds. The speed of the train is

_____________ km/hr.

7. How many seconds will a train 60 m in length, travelling at the rate of 42 km an hour, take to

pass another train 84 m long, proceeding in the same direction at the rate of 30 km an hour?



9. Two trains running at the rates 45 and 36 km an hour respectively, on parallel rails in

opposite directions, are observed to pass each other in 8 seconds, and when they are running

in the same direction at the same rate as before, a person sitting in the faster train observes that

he passes the other in 30 seconds. Find the lengths of the trains.



10. Two trains measuring 100 m and 80 m respectively, run on parallel lines of rails. When

travelling in opposite directions they are observed to pass each other in 9 seconds, but when

they are running in the same direction at the rates as before, the faster train passes the other in

18 seconds. Find the speed of the two trains in km per hour.

problems on trains with solutions - pdf.pdf

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